Best Known (136, 147, s)-Nets in Base 2
(136, 147, 4194308)-Net over F2 — Constructive and digital
Digital (136, 147, 4194308)-net over F2, using
- (u, u+v)-construction [i] based on
- digital (2, 7, 7)-net over F2, using
- digital (129, 140, 4194301)-net over F2, using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2140, large, F2, 3, 11), using
- net defined by OOA [i] based on linear OOA(2140, 4194301, F2, 15, 11) (dual of [(4194301, 15), 62914375, 12]-NRT-code), using
(136, 147, 5266656)-Net over F2 — Digital
Digital (136, 147, 5266656)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2147, 5266656, F2, 3, 11) (dual of [(5266656, 3), 15799821, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2147, large, F2, 3, 11), using
- 21 times duplication [i] based on linear OOA(2146, large, F2, 3, 11), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(2140, large, F2, 3, 11), using
- 21 times duplication [i] based on linear OOA(2146, large, F2, 3, 11), using
- discarding factors / shortening the dual code based on linear OOA(2147, large, F2, 3, 11), using
(136, 147, large)-Net in Base 2 — Upper bound on s
There is no (136, 147, large)-net in base 2, because
- 9 times m-reduction [i] would yield (136, 138, large)-net in base 2, but